Simplifying the Fraction: 5/15 x 4/15
When we multiply two fractions together, we need to follow the rule of multiplying the numerators (the numbers on top) and the denominators (the numbers on the bottom), and then simplify the resulting fraction. Let's break down the multiplication of 5/15 and 4/15.
Multiplying the Fractions
To multiply 5/15 and 4/15, we multiply the numerators (5 and 4) and the denominators (15 and 15).
Numerators: 5 x 4 = 20 Denominators: 15 x 15 = 225
So, the resulting fraction is:
20/225
Simplifying the Fraction
Now, let's simplify the fraction 20/225. To do this, we need to find the greatest common divisor (GCD) of 20 and 225.
The GCD of 20 and 225 is 5. Therefore, we can divide both the numerator and the denominator by 5.
20 ÷ 5 = 4 225 ÷ 5 = 45
So, the simplified fraction is:
4/45
Therefore, the result of multiplying 5/15 and 4/15 is 4/45.
